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101220010210111 = 132931471759104761
BaseRepresentation
bin10111000000111100011110…
…110000001011001100111111
3111021101112112112202122011011
4113000330132300023030333
5101231342040103210421
6555135455235340051
730214622132625262
oct2700743660131477
9437345475678134
10101220010210111
112a28518aa662a1
12b429148751627
134463010271960
141add108b1ccd9
15ba7e710914e1
hex5c0f1ec0b33f

101220010210111 has 64 divisors (see below), whose sum is σ = 118947948134400. Its totient is φ = 85395055334400.

The previous prime is 101220010210103. The next prime is 101220010210177. The reversal of 101220010210111 is 111012010022101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101220010210111 - 23 = 101220010210103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101220010210091 and 101220010210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220010210211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 966146971 + ... + 966251731.

It is an arithmetic number, because the mean of its divisors is an integer number (1858561689600).

Almost surely, 2101220010210111 is an apocalyptic number.

101220010210111 is a deficient number, since it is larger than the sum of its proper divisors (17727937924289).

101220010210111 is a wasteful number, since it uses less digits than its factorization.

101220010210111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106640.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101220010210111 its reverse (111012010022101), we get a palindrome (212232020232212).

The spelling of 101220010210111 in words is "one hundred one trillion, two hundred twenty billion, ten million, two hundred ten thousand, one hundred eleven".

Divisors: 1 13 29 31 47 377 403 611 899 1363 1457 1759 11687 17719 18941 22867 42253 51011 54529 82673 104761 549289 663143 708877 1074749 1361893 1581341 2397517 2562863 3038069 3247591 4923767 20557433 31167721 33317219 39494897 42218683 64008971 74323027 94180139 142789243 152636777 184274599 966199351 1224341807 1856260159 1984278101 2395569787 4426466533 5343963371 5712512569 8660906153 57544064929 69471523823 74262663397 112591779989 165662864501 251166278437 268488090743 2153617238513 3265161619681 3490345179659 7786154631547 101220010210111